Adaptive wavelet decomposition of matrix flows

Adaptive algorithms for constructing spline-wavelet decompositions of matrix flows from a linear space of matrices over a normed field are presented. The algorithms suggested provides for an a priori prescribed estimate of the deviation of the basic flow from the original one. Comparative bounds of the volumes of data in the basic flow for various irregularity characteristics of the original flow are obtained in the cases of pseudouniform and adaptive meshes. Limit characteristics of the above-mentioned volumes are given in the cases where the original flow is generated by differentiable functions.